Fix the typing

Author: poad

package/.gitignore

@@ -9,3 +9,5 @@ cdk.out
 
 .DS_Store
 *.map
+*.tgz
+package

package/package.json

@@ -11,19 +11,27 @@
   ],
   "private": false,
   "sideEffects": false,
+  "files": [
+    "dist",
+    "README.md"
+  ],
   "homepage": "https://github.com/poad/aws-lambda-mcp-server#readme",
   "repository": {
     "type": "git",
     "url": "git+https://github.com/poad/aws-lambda-mcp-server.git"
   },
+  "publishConfig": {
+    "main": "./dist/index.js",
+    "typings": "./dist/index.d.ts"
+  },
   "exports": {
     ".": {
       "types": "./dist/index.d.ts",
       "default": "./dist/index.js"
     }
   },
   "module": "./dist/index.js",
-  "types": "dist/index.d.ts",
+  "types": "./dist/index.d.ts",
   "main": "./dist/index.js",
   "author": "poad",
   "license": "ISC",
@@ -56,4 +64,4 @@
     "hono": "^4.10.4",
     "zod": "^3.25.76"
   }
-}
+}